Chelminiak P, Dixon J M, Tuszyński J A, Marsh R E
Department of Physics, University of Warwick, Coventry CV4 7AL, UK.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 May;73(5 Pt 1):051912. doi: 10.1103/PhysRevE.73.051912. Epub 2006 May 22.
This paper discusses an application of a random network with a variable number of links and traps to the elimination of drug molecules from the body by the liver. The nodes and links represent the transport vessels, and the traps represent liver cells with metabolic enzymes that eliminate drug molecules. By varying the number and configuration of links and nodes, different disease states of the liver related to vascular damage have been simulated, and the effects on the rate of elimination of a drug have been investigated. Results of numerical simulations show the prevalence of exponential decay curves with rates that depend on the concentration of links. In the case of fractal lattices at the percolation threshold, we find that the decay of the concentration is described by exponential functions for high trap concentrations but transitions to stretched exponential behavior at low trap concentrations.
本文讨论了一种具有可变链接数和陷阱数的随机网络在肝脏从体内消除药物分子方面的应用。节点和链接代表运输血管，陷阱代表具有消除药物分子代谢酶的肝细胞。通过改变链接和节点的数量及配置，模拟了与血管损伤相关的肝脏不同疾病状态，并研究了其对药物消除速率的影响。数值模拟结果表明，指数衰减曲线普遍存在，其速率取决于链接的浓度。在渗流阈值处的分形晶格情况下，我们发现，对于高陷阱浓度，浓度的衰减由指数函数描述，但在低陷阱浓度下转变为拉伸指数行为。
